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Finding the Fourth Proportional to 15,853.07, 21,827.44 and 13,458.07

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Solution

The fourth proportional to 15,853.07, 21,827.44 and 13,458.07 is: 18,529.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,853.07 : 21,827.44 = 13,458.07 : x
  2. Step 2: Convert to fraction form
    15,853.07/21,827.44 = 13,458.07/x
  3. Step 3: Cross multiply
    15,853.07x = 21,827.44 × 13,458.07
  4. Step 4: Simplify right side
    15,853.07x = 293,755,320.94
  5. Step 5: Solve for x
    x = 293,755,320.94/15,853.07
  6. Step 6: Final answer
    x = 18,529.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.